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" Algebra, a graduate course / "
I. Martin Isaacs
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BL
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| Record Number
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583917
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| Doc. No
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b413136
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| Main Entry
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Isaacs, I. Martin,1940-
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| Title & Author
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Algebra, a graduate course /\ I. Martin Isaacs
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| Publication Statement
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Pacific Grove, Calif. :: Brooks/Cole Pub. Co.,, c1994
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| Page. NO
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xii, 516 p. :: ill. ;; 25 cm
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| ISBN
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0534190022
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| Notes
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Includes index
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| Contents
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Definitions and examples of groups -- Subgroups and cosets -- Homomorphisms -- Group actions -- The Sylow theorems and p-groups -- Permutation groups -- New groups from old -- Solvable and nilpotent groups -- Transfer -- Operator groups and unique decompositions -- Module theory without rings -- Rings, ideals, and modules -- Simple modules and primitive rings -- Artinian rings and projective modules -- An introduction to character theory -- Polynomial rings, PIDs, and UFDs -- Field extensions -- Galois theory -- Separability and inseparability --
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Cyclotomy and geometric constructions -- Finite fields -- Roots, radicals, and real numbers -- Norms, traces, and discriminants -- Transcendental extensions -- The Artin-Schreier theorem -- Ideal theory -- Noetherian rings -- Integrality -- Dedekind domains -- Algebraic sets and the Nullstellensatz
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| Subject
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Algebra
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| LC Classification
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QA154.2.I83 1994
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